1155504000 has 512 divisors, whose sum is σ = 4633574400. Its totient is φ = 248832000.

The previous prime is 1155503989. The next prime is 1155504011. The reversal of 1155504000 is 4055511.

It is an interprime number because it is at equal distance from previous prime (1155503989) and next prime (1155504011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6383910 + ... + 6384090.

It is an arithmetic number, because the mean of its divisors is an integer number (9049950).

Almost surely, 2^1155504000 is an apocalyptic number.

1155504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316787200).

1155504000 is an abundant number, since it is smaller than the sum of its proper divisors (3478070400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1155504000 is a wasteful number, since it uses less digits than its factorization.

1155504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1155504000 is about 33992.7050997710. The cubic root of 1155504000 is about 1049.3583381148.

Adding to 1155504000 its reverse (4055511), we get a palindrome (1159559511).

Subtracting from 1155504000 its reverse (4055511), we obtain a square (1151448489 = 33933²).

The spelling of 1155504000 in words is "one billion, one hundred fifty-five million, five hundred four thousand".